If you attach a 50.0 g mass to the spring whose data are shown in the graph, what will be the period of it's oscillations?

a. 8.9 s
b. 0.28 s
c. 1.4 s
d. 13 s

B. 0.28 s

Explanation:

From the graph, we can calculate the spring constant of the spring, which is equal to the slope of the force-displacement graph. Taking two random points on the graph, we find:

The period of oscillations is given by:

where m=50.0 g=0.05 kg is the mass on the spring. Substituting numbers, we find

t.                 w               e                 n                   t                 y                 c             h               a           r           a               c                 t             e             r             s